What is the Greatest Common Factor of 29856 and 29872?

Greatest common factor (GCF) of 29856 and 29872 is 16.

GCF(29856,29872) = 16

We will now calculate the prime factors of 29856 and 29872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29856 and 29872.

How to find the GCF of 29856 and 29872?

We will first find the prime factorization of 29856 and 29872. After we will calculate the factors of 29856 and 29872 and find the biggest common factor number .

Step-1: Prime Factorization of 29856

Prime factors of 29856 are 2, 3, 311. Prime factorization of 29856 in exponential form is:

29856 = 2⁵ × 3¹ × 311¹

Step-2: Prime Factorization of 29872

Prime factors of 29872 are 2, 1867. Prime factorization of 29872 in exponential form is:

29872 = 2⁴ × 1867¹

Step-3: Factors of 29856

List of positive integer factors of 29856 that divides 29856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 311, 622, 933, 1244, 1866, 2488, 3732, 4976, 7464, 9952, 14928

Step-4: Factors of 29872

List of positive integer factors of 29872 that divides 29856 without a remainder.

1, 2, 4, 8, 16, 1867, 3734, 7468, 14936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29856 and 29872. The biggest common factor number is the GCF number.
So the greatest common factor 29856 and 29872 is 16.

Also check out the Least Common Multiple of 29856 and 29872